MAT257Y1: Analysis II

Hours: 
72L/48T

Topology of R^n; compactness, functions and continuity, extreme value theorem. Derivatives; inverse and implicit function theorems, maxima and minima, Lagrange multipliers. Integration; Fubini's theorem, partitions of unity, change of variables. Differential forms. Manifolds in R^n; integration on manifolds; Stokes' theorem for differential forms and classical versions.

Prerequisite: 
Distribution Requirements: 
Science
Breadth Requirements: 
The Physical and Mathematical Universes (5)